JournalszaaVol. 42, No. 1/2pp. 37–64

Fractional differentiability for elliptic double obstacle problems with measure data

  • Sun-Sig Byun

    Seoul National University, Republic of Korea

  • Kyeong Song

    Korea Institute for Advanced Study, Seoul, Republic of Korea

  • Yeonghun Youn

    Yeungnam University, Gyeongsan, Republic of Korea
Fractional differentiability for elliptic double obstacle problems with measure data cover

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Abstract

We consider elliptic double obstacle problems involving -Laplacian type operators and measure data. We prove maximal fractional differentiability results in a completely linearized form under suitable differentiability assumptions on the obstacles. We also investigate fractional Sobolev–Morrey regularity for such problems under a density condition on the measures.

Cite this article

Sun-Sig Byun, Kyeong Song, Yeonghun Youn, Fractional differentiability for elliptic double obstacle problems with measure data. Z. Anal. Anwend. 42 (2023), no. 1/2, pp. 37–64

DOI 10.4171/ZAA/1721